determine if 35 is a rational number explain why or why not

Answer 1

Yes, 35 is a rational number. A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

In this case, 35 can be expressed as:

\[ \frac{35}{1} \]

Here, 35 is the numerator (an integer), and 1 is the denominator (also an integer and not zero). Because it can be written in this form, 35 qualifies as a rational number.

Answer 2

determine if 35 is a rational number explain why or why not
option A no because it is an odd number
option B yes because 5*5=35
option C no, there is no number then when squared, or multiplied by itself, gives you 35
option D yes, because 5*7=35

Answer 3

The correct answer is D: yes, because \(5 \times 7 = 35\).

Explanation:

• A is incorrect because being odd or even does not determine whether a number is rational. Both odd and even integers can be rational numbers.

• B is incorrect as \(5 \times 5 = 25\), not 35, so it does not provide a valid reason for why 35 is a rational number.

• C is misleading; while it is true that there is no integer that, when squared, gives you 35, this does not determine whether 35 is a rational number. Rational numbers include integers, which do not need to be squares of other integers.

• D correctly states that 35 can be expressed as the product of two integers (5 and 7), confirming that it is indeed a rational number. Additionally, as explained previously, 35 can be expressed as \(\frac{35}{1}\), further confirming its rationality.

Answer 4

are you 100% sure bot?

Answer 5

Yes, I'm confident in the explanation provided. To recap:

1. A is incorrect because the classification of a number as odd or even does not affect its status as a rational number.
2. B is incorrect as \(5 \times 5\) equals 25, not 35.
3. C is misleading; while it's true there isn't an integer whose square is 35, this doesn't affect whether 35 itself is rational.
4. D correctly identifies that 35 can be expressed as the product \(5 \times 7\), demonstrating it can be represented as a fraction (\(\frac{35}{1}\)), proving it is rational.

So, based on these explanations, D is the correct choice, and 35 is indeed a rational number. If you have any further questions or if there's anything specific you're unsure about, feel free to ask!